Name _______________________________________ Date __________________ Class __________________ Practice B Solving Equations with Variables on Both Sides Solve each equation. Check your answers. 1. 3d 8 2d 17 ________________________ 4. t 5 t 19 ________________________ 7. 2y 3 3(y 7) ________________________ 2. 2n 7 5n 10 ________________________ 5. 15x 10 9x 2 ________________________ 8. 4n 6 n 2(n 3) ________________________ 3. p 15 13 6p ________________________ 6. 1.8r 9 5.7r 6 ________________________ 9. 5(r 1) 2(r 4) 6 ________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ Answer each of the following. 13. Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. a. After how many years would Janine’s salary be the same with both companies? b. What would that salary be? 14. Xian and his cousin both collect stamps. Xian has 56 stamps, and his cousin has 80 stamps. Both have recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month, and his cousin’s club will send him 8 new stamps per month. a. After how many months will Xian and his cousin have the same number of stamps? b. How many stamps will that be? Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date __________________ Class __________________ Practice B Solving Equations with Variables on Both Sides Solve each equation. Check your answers. 1. 3d 8 2d 17 2. 2n 7 5n 10 d 25 n1 4. t 5 t 19 5. 15x 10 9x 2 t 12 x 7. 2y 3 3(y 7) p4 6. 1.8r 9 5.7r 6 1 2 8. 4n 6 2n 2(n 3) y 18 10. v 5 6v 1 5v 3 3. p 15 13 6p r 2 9. 6m 8 2 9m 1 m 3 all real numbers 11. 2(3b 4) 8b 11 no solution b 12. 5(r 1) 2(r 4) 6 3 2 r 3 Answer each of the following. 13. Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. a. After how many years would Janine’s salary be the same with both companies? b. What would that salary be? 8 years $52,000 14. Xian and his cousin both collect stamps. Xian has 56 stamps, and his cousin has 80 stamps. Both have recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month, and his cousin’s club will send him 8 new stamps per month. a. After how many months will Xian and his cousin have the same number of stamps? b. How many stamps will that be? 6 months 128 stamps Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1